On a class of nonlinear obstacle problems with nonstandard growth
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Publication:3462588
DOI10.1002/mma.3250zbMath1334.35068OpenAlexW1595560984MaRDI QIDQ3462588
Wei Wang, Weilin Zou, Yanhui Bi
Publication date: 15 January 2016
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.3250
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Cites Work
- Unnamed Item
- Lebesgue and Sobolev spaces with variable exponents
- Regularity results for a class of obstacle problems under nonstandard growth conditions
- The obstacle problem for nonlinear elliptic equations with variable growth and \(L^{1}\)-data
- Existence of bounded solutions for non linear elliptic unilateral problems
- \(L^{\infty}\)-estimates for nonlinear elliptic problems with \(p\)-growth in the gradient
- Electrorheological fluids: modeling and mathematical theory
- Regularity results for stationary electro-rheological fluids
- Existence and uniqueness of bounded weak solutions for some nonlinear parabolic problems
- Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
- Variable exponent Sobolev spaces with zero boundary values
- Variable Exponent, Linear Growth Functionals in Image Restoration
